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A Variational Model for Multiplicative Structured Noise Removal

Escande, Paul and Weiss, Pierre and Zhang, Wenxing A Variational Model for Multiplicative Structured Noise Removal. (2017) Journal of Mathematical Imaging and Vision, 57 (1). 43-55. ISSN 0924-9907

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Official URL: http://dx.doi.org/10.1007/s10851-016-0667-3

Abstract

We consider the problem of restoring images impaired by noise that is simultaneaously structured and multiplicative. Our primary motivation for this setting is the Selective Plane Illumination Microscope (SPIM) which often suffers from severe inhomogeneities due to light absorption and scattering. This type of degradation arises in other imaging devices such as ultrasonic imaging. We model the multiplicative noise as a stationary process with known distribution. This leads to a novel convex image restoration model based on a maximum a posteriori estimator. After establishing some analytical properties of the minimizers, we finally propose a fast optimization method on GPU. Numerical experiments on 2D fluorescence microscopy images demonstrate the usefulness of the proposed models in practical applications.

Item Type:Article
Additional Information:Thanks to Springer editor. The definitive version is available at http://link.springer.com/article/10.1007%2Fs10851-016-0667-3
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Laboratory name:
Funders:
PRES of Toulouse University and Midi-Pyrenees region
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Deposited By: Paul Escande
Deposited On:24 Apr 2017 15:42

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